- #1

morrowcosom

- 54

- 0

## Homework Statement

(1 2 3 4 5)

(2 1 3 5 4) Write the bottom number as a product of transpositions

## Homework Equations

## The Attempt at a Solution

41352 41325 41235 42135 42315 24315 24351 21354

(2 4) (2 5) (2 3) (2 1) (3 1) (4 2) (5 1) (4 1)

This an even number of transpositions but I ended up with the number. I read somewhere that it is impossible to calculate these products with an even number of transpositions if there is an odd number of digits or vice-versa. What is up with this, or what am I doing wrong? Is there a method to finding these products, or do you just plug in random numbers after the n-1 transpositions (2, 4) (2, 5) (2, 3) (2, 1)?